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One 1 to Six 6's (Posted on 2015-07-01) Difficulty: 4 of 5
A standard six-sided die is to be rolled repeatedly until a side appears a number of times equal to its number. In other words until the n-th n appears.

Let P(n)=the probability the game terminates with the n-th n.

Find the distribution of n.

Feel free to generalize for m sides.

Warning: I have not managed this past m=4.

No Solution Yet Submitted by Jer    
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  Subject Author Date
re: Solution for n=2 and 3, and some observationsCharlie2015-07-30 09:11:20
Solution for n=2 and 3, and some observationspuzzlesrfun2015-07-29 18:04:49
re(2): more results (11 and 12)Jer2015-07-05 16:07:34
re: more results (11 and 12)Daniel2015-07-04 09:45:05
more resultsDaniel2015-07-03 21:01:10
re(5): computer aided solution (lots more)Daniel2015-07-03 21:00:09
re(4): computer aided solutionCharlie2015-07-02 15:41:55
re(2): computer aided solutionCharlie2015-07-02 15:34:07
re(3): computer aided solutionCharlie2015-07-02 09:39:18
Solutionre(2): computer aided solutionCharlie2015-07-02 09:09:49
re: computer aided solutionJer2015-07-01 22:17:03
re: computer aided solutionSteve Herman2015-07-01 18:48:00
Solutioncomputer aided solutionCharlie2015-07-01 17:00:33
m = 3Steve Herman2015-07-01 15:59:54
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